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Finding the Third Proportional to 488,907 and 1,059,213

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Solution

The third proportional to 488,907 and 1,059,213 is: 2,294,776.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,907 : 1,059,213 = 1,059,213 : x
  2. Step 2: Convert to fraction form
    488,907/1,059,213 = 1,059,213/x
  3. Step 3: Cross multiply
    488,907x = 1,059,213 × 1,059,213
  4. Step 4: Simplify right side
    488,907x = 1,121,932,179,369
  5. Step 5: Solve for x
    x = 1,121,932,179,369/488,907
  6. Step 6: Final answer
    x = 2,294,776.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.